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Finding the Fourth Proportional to 472,912.52, 709,211.46 and 152,988.44

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Solution

The fourth proportional to 472,912.52, 709,211.46 and 152,988.44 is: 229,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,912.52 : 709,211.46 = 152,988.44 : x
  2. Step 2: Convert to fraction form
    472,912.52/709,211.46 = 152,988.44/x
  3. Step 3: Cross multiply
    472,912.52x = 709,211.46 × 152,988.44
  4. Step 4: Simplify right side
    472,912.52x = 108,501,154,895.52
  5. Step 5: Solve for x
    x = 108,501,154,895.52/472,912.52
  6. Step 6: Final answer
    x = 229,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.